Consider a triangle D whose two sides lie on the x-axis and the line x + y + 1 = 0. If the orthocenter of D is (1, 1), then the equation of the circle passing through the vertices of the triangle D is (a) x2 + y2 – 3x + y = 0 (b) x2 + y2 + x + 3y = 0 (c) x2 + y2 + 2y – 1 = 0 (d) x2 + y2 + x + y = 0 Solution